13112400 has 180 divisors, whose sum is σ = 49080192. Its totient is φ = 2983680.

The previous prime is 13112383. The next prime is 13112417. The reversal of 13112400 is 421131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13112383) and next prime (13112417).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58689 + ... + 58911.

Almost surely, 2^13112400 is an apocalyptic number.

13112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540096).

13112400 is an abundant number, since it is smaller than the sum of its proper divisors (35967792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112400 is a wasteful number, since it uses less digits than its factorization.

13112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13112400 is about 3621.1048037857. The cubic root of 13112400 is about 235.8091917447.

Adding to 13112400 its reverse (421131), we get a palindrome (13533531).

The spelling of 13112400 in words is "thirteen million, one hundred twelve thousand, four hundred".